Sacred Duty A Protection Paladin Blog. Avoidance and diminishing returns are topics we’ve spent a fair amount of time discussing in the past. In 2. 01. 2, I wrote a series of threeblogposts discussing avoidance diminishing returns in Mists of Pandaria, chronicling the background of the formulas the community uses, numerically fitting data sets to determine the diminishing returns coefficients, and eventually discussing what those equations mean for gearing.

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We used similar fitting techniques to find values for druids and monks. Later that year, we used a more precise data set collected with the Statslog addon to fine- tune the values for paladins and uncover some wonky rounding in the block calculation. And in 2. 01. 3, we performed an exhaustive analysis including lots of pretty surface plots to get accurate values for all of the tank specs.

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It seemed at first like Warlords of Draenor was going to be an easy expansion in that regard. Celestalon has outright given us the strength- to- parry and agility- to- dodge coefficients and the diminishing returns coefficients for each class.

While the provided coefficients are in the format of their internal diminishing returns formula, which is a little different from the version the community usually uses, translating between the two is not difficult. And yet…. First, some quick tests uncovered a bug in the calculation of base parry, which Blizzard subsequently fixed. And in the past two weeks, I’ve discovered another oddity, which I’ve detailed below. As usual with TC1. I’ll give the results up front for reference (and those that don’t want to scroll to the bottom to get them), and then start talking about how we performed the tests.

What’s Changed. The diminishing returns (DR) formulas for Wo. D have changed very little from the Mists versions. In fact, the most significant changes are to the contributions that are not affected by DR. In Mists, base strength and agility add an amount of parry or dodge, respectively, that is unaffected by DR. In Warlords, that contribution has changed in the following ways: Strength no longer grants parry for druids and monks, and agility no longer grants dodge for paladins, warriors, and death knights. They have subtracted out the “non- DR” parry and dodge contributions from base strength and agility, such that base parry and dodge should be exactly 3.

NPCs) plus any race- or spec- based passives. For example, a night elf would have 5.

Quickness, as would a paladin thanks to Sanctuary. However… there are a few quirks. They have subtracted out the contribution due to the class portion of base strength, but not the portion due to the racial strength modifier. That racial strength modifier’s contribution is also not affected by DR. So a gnome warrior (- 5 racial strength modifier) would have 2. The same is true for the racial agility modifier’s contribution to dodge.

Finally, there’s probably a small error in the strength subtraction, because all strength tanks (regardless of race) are getting a “phantom” 0. The last quirk is the interesting one, because it’s a bug. Not a game- breaking bug, mind you; we’re talking about about 0. For most people, they’ll never even be perceptible.

Nonetheless, it’s worth noting because it’s just barely large enough that it could cause a slight discrepancy between calculated and character sheet parry values if not accounted for. For example, if your theorycrafted parry is 2. I’ve informed Blizzard of the bug, but I’ve been told that given their programmer’s workload and the tiny magnitude of the effect, we should not expect to see it fixed. Warlords of Draenor Diminishing Returns Formulas.

Since Blizzard has kindly provided us with the diminishing returns coefficients, I’ve chosen to use their formula rather than the community’s traditional one. In the next section I’ll show how to convert the coefficients provided by Blizzard into the conventional ones you might be familiar with.

In the following equations, $\text{Parry. Factor}$, $\text{Dodge.

Factor}$, $\text{Block. Factor}$, $\text{Vertical. Stretch}$, and $\text{Horizontal. Shift}$ are the class- specific Blizzard DR coefficients given in the table at the end of this section. Q_S$ and $Q_A$ are the level- dependent and class- specific strength- to- parry and agility- to- dodge conversion factors.

Base. Str}$ and $\text{class. Base. Agi}$ are class- dependent base stat values, and $\text{race. Str. Mod}$ and $\text{race.

Agi. Mod}$ are the racial stat modifiers. Strength}$, $\text{Agility}$, $\text{Mastery}$, $\text{parry. Rating}$, and $\text{dodge. Rating}$ are your character sheet values for each of these stats.

Note that I’m giving these equations in percent form. In other words, a $\text{bonus. Parry}$ of 1. 5. 3% is 1. If using decimal form (e. Parry}=0. 1. 53$) there is an extra factor of 1.

Vertical. Stretch}$. The easiest way to accommodate this is to just multiply $\text{Vertical. Stretch}$ by 1. 00. The diminishing returns equations for parry are: $\text{base. Parry} = 3. 0. 0 + \left ( \text{race. Str. Mod}+ 0. 0. 73.

Q_S$$\text{bonus. Parry} = \left ( \text{Strength} – \text{class.

Base. Str} – \text{race. Str. Mod} \right ) \times Q_S + \text{parry. Rating} / 1. 62$$\begin{align} \text{total. Parry} & = \text{base. Parry}  \\ & + \text{bonus.

Parry}/\left ( \text{bonus. Parry} \times \text{Parry. Factor}\times \text{Vertical. Stretch} + \text{Horizontal. Shift} \right ) \end{align}$The diminishing returns equations for dodge are: $\text{base. Dodge} = 3. 0. 0 + \text{race. Agi. Mod}\times Q_A + \text{racial/spec passives}.$$\text{bonus.

Dodge} = \left ( \text{Agility} – \text{class. Base. Agi} – \text{race.

Agi. Mod} \right ) \times Q_A + \text{dodge. Rating} / 1. 62$$\begin{align} \text{total. Dodge} & = \text{base. Dodge} \\ & + \text{bonus. Dodge}/\left ( \text{bonus. Dodge}\times \text{Dodge. Factor}\times \text{Vertical.

Stretch}+\text{Horizontal. Shift} \right ) \end{align}$The diminishing returns equations for block are: $\text{base. Block} = 3. 0. 0 + \text{spec passives}.$$\text{bonus. Block} = \text{round}[~\text{Mastery}\times Q_M \times 1. Block} & = \text{base.

Block} \\ & + \text{bonus. Block}/\left ( \text{bonus. Block}\times \text{Block.

Factor}\times \text{Vertical. Stretch}+\text{Horizontal. Shift} \right ) \end{align}$The tables below summarize the constants in these formulas for different tank specs. Constants By Class. Constant. Death Knight.

Druid. Monk. Paladin. Warrior. Parry. Factor. Dodge. Factor. 1.

Block. Factor. 11. Vertical. Stretch. Horizontal. Shift. Base. Str. 14. 55. Base. Agi. 10. 71. Q_S = \begin{cases} 1/1.

Death Knight, Paladin, Warrior} \\ 0 & \text{ otherwise}\end{cases}$$Q_A = \begin{cases} 1/1. Druid, Monk} \\ 0 & \text{otherwise}\end{cases}$$Q_M = \begin{cases} 1 & \text{Paladin} \\ 0. Warrior} \\ 0 & \text{otherwise}\end{cases}$Race Stat Modifiers.

Racerace. Str. Modrace. Agi. Mod. Human. 00.

Dwarf. 5- 4. Night Elf- 4. Orc. 3- 3. Tauren. Undead- 1- 2. Gnome- 5. Troll. 12. Blood Elf- 3. Draenei. 1- 3. Goblin- 3. Worgen. 32. Pandaren.

Background. Blizzard’s formula for diminishing returns looks a little different than the one the community generally uses. If you read community guides (including my old posts on the subject), we tend to use a two- parameter formula: $\text{total. Parry} = \text{base. Parry} +1 / \left ( \frac{1}{C_p} + \frac{k}{\text{bonus. Parry}} \right )$where $C_p$ is the parry cap (or dodge cap $C_d$ or block cap $C_b$ for the other formulas) and $k$ is a class- dependent constant.

It’s not hard to show that this formula is identical in form to the Blizzard ones: multiply both numerator and denominator of the second term on the right- hand side by $\text{bonus. Parry}$ to get: $\text{total. Parry} =\text{base. Parry} + \text{bonus. Parry} / \left ( \text{bonus.

Parry} /C_p+k \right ) $In this form it’s clear that $k = \text{Horizontal. Shift}$, and that there’s a very simple relationship between $C_p$ and the remaining two constants: $C_p = 1/ \left (\text{Parry. Factor} \times \text{Vertical.

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Occupation. Actor, producer, environmentalist. Years active. 19. Home town. Navan, County Meath, Ireland. Spouse(s)Cassandra Harris (m. 1. Keely Shaye Smith (m. 2. Children. 5; including Chris and Sean Brosnan.

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The November Man (2. In 1. 99. 6, along with Beau St.

Clair, Brosnan formed Irish Dream. Time, a Los Angeles- based production company.[2] In later years, he has become known for his charitable work and environmental activism. He was married to Australian actress Cassandra Harris from 1. He married American journalist and author Keely Shaye Smith in 2. American citizen in 2. United States and Ireland.

He has earned two Golden Globe Award nominations, first for the television miniseries Nancy Astor (1. The Matador (2. 00.

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In 1. 97. 7 he was picked by Franco Zeffirelli to appear in the play Filumena by Eduardo De Filippo opposite Joan Plowright and Frank Finlay.[1. He continued his career making brief appearances in films such as The Long Good Friday (1. The Mirror Crack'd (1. The Professionals, Murphy's Stroke, and Play for Today. He became a television star in the United States with his leading role in the popular miniseries Manions of America.[2.

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Bond from Roger Moore.[2. It was reported by both Entertainment Tonight and the National Enquirer, that Brosnan was going to inherit another role of Moore's, that of Simon Templar in The Saint.[2. Brosnan denied the rumours in July 1. Hollywood."[2. 4]In 1. NBC cancelled Remington Steele. Brosnan was offered the role of James Bond, but the publicity improved Remington Steele's ratings and it was renewed, requiring Brosnan to return to the show and causing the Bond films' producers to revoke their offer.[2.